CHAPTER SIX
6.1
a
.
AB: Heat liquid --
constant
V
≈
o
BC:
Evaporate liquid --
increases, system remains at point on vapor-liquid equilibrium
curve as long as some liquid is present.
100 C.
V
T
=
CD: Heat vapor - -T increases, V increases .
b.
Point B
: Neglect the variation of the density of liquid water with temperature, so
ρ
= 1.00 g/mL
B
and
10 mL
V
=
Point C
: H
2
O (v, 100
°
C)
10 mL
1.00 g
1 mol
0.555 mol
mL
18.02 g
n
=
=
0.555 mol
0.08206 L
atm
373 K
17 L
1 atm
mol K
C
C
C
C
C
C
nRT
P V
nRT
V
P
⋅
=
⇒
=
=
=
⋅
6.2
a
.
mm Hg
final
P
=
243
.
Since liquid is still present, the pressure and temperature must lie on the
vapor-liquid equilibrium curve, where by definition the pressure is the vapor pressure of the
species at the system temperature.
b
.
Assuming ideal gas behavior for the vapor,
m(vapor)
(3.000 - 0.010) L
mol
K
243 mm Hg
1 atm
119.39 g
(30 + 273.2) K
0.08206 L
atm
760 mm Hg
mol
g
=
⋅
⋅
=
4 59
.
m(liquid)
10 mL
1.489 g
mL
g
=
=
14 89
.
m
m(vapor) + m(liquid) =19.5 g
total
=
x
=
4.59
g vapor / g total
vapor
19 48
0 235
.
.
=
6.3
a.
log
.
.
.
.
*
.370
10
2
7 09808
1238 71
45
217
2 370
10
234 5
p
p
∗
=
−
+
=
⇒
=
=
mm Hg
b.
ln
±
±
ln
/
ln
/
.
*
*
.0
.
p
H
R
T
B
H
R
p
p
v
v
T
T
∗
+
+
= −
+
⇒ −
=
−
=
−
= −
∆
∆
1
760
118 3
4151
2
1
5
2
1
d
i
b
g
b
g
b
g
1
1
1
77
273.2 K
1
29
273.2 K
K
B
p
H
R
T
v
=
+
=
+
+
=
ln(
)
±
/
ln
.
.
*
1
1
118 3
18 49
∆
b
g
b
g
4151 K
29.5
273.2 K
6- 1

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